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Finding the Fourth Proportional to 12,570.67, 17,347.58 and 6,981.67

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Solution

The fourth proportional to 12,570.67, 17,347.58 and 6,981.67 is: 9,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.67 : 17,347.58 = 6,981.67 : x
  2. Step 2: Convert to fraction form
    12,570.67/17,347.58 = 6,981.67/x
  3. Step 3: Cross multiply
    12,570.67x = 17,347.58 × 6,981.67
  4. Step 4: Simplify right side
    12,570.67x = 121,115,078.86
  5. Step 5: Solve for x
    x = 121,115,078.86/12,570.67
  6. Step 6: Final answer
    x = 9,634.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.